Tides in the high-eccentricity migration of hot Jupiters: Triggering diffusive growth by nonlinear mode interactions

Abstract

High eccentricity migration is a possible formation channel for hot Jupiters. However, in order for it to be consistent with the observed population of planets, tides must circularize the orbits in less than $\approx$ a Myr. A potential mechanism for such rapid circularization is the diffusive growth of the tidally driven planetary f-mode. Such growth occurs if the f-mode's phase at pericenter varies chaotically from one pericenter passage to the next. Previous studies focused on the variation of the orbital period due to tidal back-reaction on the orbit as the source of chaos. Here we show that nonlinear mode interactions can also be an important source. Specifically, we show that nonlinear interactions between a parent f-mode and daughter f-/p-modes induce an energy-dependent shift in the oscillation frequency of the parent. This frequency shift varies randomly from orbit to orbit because the parent's energy varies. As a result, the parent's phase at pericenter varies randomly, which we find can trigger it to grow diffusively. We show that the phase shift induced by nonlinear mode interactions in fact dominates the shift induced by tidal back-reaction and significantly lowers the one-kick energy threshold for diffusive growth by about a factor of 5 compared to the linear theory's prediction. Nonlinear interactions could thus enhance the formation rate of hot Jupiters through the high-eccentricity migration channel and potentially mitigate the discrepancy between the observed and predicted occurrence rates for close-in gas giants as compared to those further from the star.

arXiv comment19 pages, 5 figures; submitted to ApJ

References in corpus (32)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• Dynamical Outcomes of Planet-Planet Scattering
• Planet Migration and Binary Companions: the case of HD 80606b
• Origins of Hot Jupiters
• Formation of Hot Planets by a combination of planet scattering, tidal circularization, and Kozai mechanism
• GYRE: An open-source stellar oscillation code based on a new Magnus Multiple Shooting Scheme
• Secular Chaos and the Production of Hot Jupiters
• Tidal dissipation in rotating giant planets
• Angular momentum transport by heat-driven g-modes in slowly pulsating B stars
• Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
• Nonlinear Tides in Close Binary Systems
• Orbital decay of hot Jupiters due to nonlinear tidal dissipation within solar-type hosts
• Super-Eccentric Migrating Jupiters
• Hot Jupiters are Destroyed by Tides While Their Host Stars are on the Main Sequence
• On the tidal interaction of massive extra-solar planets on highly eccentric orbit
• A paucity of proto-hot Jupiters on super-eccentric orbits
• Nonlinear Damping of Oscillations in Tidal-Capture Binaries
• Dynamical Tides in Rotating Binary Stars
• Three-dimensional simulations of internal wave breaking and the fate of planets around solar-type stars
• Chaotic Tides in Migrating Gas Giants: Forming Hot and Transient Warm Jupiters via High-Eccentricity Migration
• Diffusive Tidal Evolution for Migrating hot Jupiters
• Formation of Hot Jupiters through Secular Chaos and Dynamical Tides
• Secular dynamics of multiplanet systems: implications for the formation of hot and warm Jupiters via high-eccentricity migration
• Tidal resonance locks in inspiraling white dwarf binaries
• Dynamical Tides in Highly Eccentric Binaries: Chaos, Dissipation and Quasi-Steady State
• Nonlinear dynamical tides in white dwarf binaries
• Tidal Effects in Eccentric Coalescing Neutron Star Binaries
• Tidal heating and stellar irradiation of Hot Jupiters

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• Tentative Evidence for Transit Timing Variations of WASP-161b
• Gravitational Radiation-Driven Chaotic Tide in a White Dwarf-Massive Black Hole Binary as a Source of Repeating X-ray Transients
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